{
  "nbformat": 4,
  "nbformat_minor": 0,
  "metadata": {
    "colab": {
      "name": "Chapter 8_1.ipynb",
      "provenance": [],
      "collapsed_sections": []
    },
    "kernelspec": {
      "name": "python3",
      "display_name": "Python 3"
    }
  },
  "cells": [
    {
      "cell_type": "code",
      "metadata": {
        "id": "ToGmU2nxogrx",
        "colab_type": "code",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 187
        },
        "outputId": "31b7953b-9374-48c6-f072-f10e3927ef5d"
      },
      "source": [
        "import os\n",
        "import numpy as np\n",
        "%matplotlib inline\n",
        "from matplotlib import pyplot as plt\n",
        "import seaborn as sns\n",
        "\n",
        "zero_mean_series = np.random.normal(loc=0.0, scale=1., size=50)\n",
        "zero_mean_series"
      ],
      "execution_count": 6,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "array([-0.98428676, -0.27875529, -0.15692063, -0.70084683,  0.48155214,\n",
              "        0.77441663,  0.09015361, -0.52785527,  0.36720343,  0.25355208,\n",
              "       -0.64998445, -0.20955805,  1.44337074,  0.38669875,  0.63534317,\n",
              "       -0.67604806, -1.46129771, -1.10234261,  0.9427183 ,  0.99961483,\n",
              "        1.15940264,  0.69318561, -0.28611067,  0.54523169,  2.97717897,\n",
              "       -1.1677121 ,  0.63996014, -0.00808407, -1.28912677,  0.40866907,\n",
              "        0.84633138,  2.16374418,  1.30162308,  3.24715658,  1.47811955,\n",
              "        0.59561567,  1.7940115 ,  2.70720874,  0.56805429,  0.51802951,\n",
              "        1.19555059,  0.10174255,  0.96889088, -0.82615793, -0.19397887,\n",
              "        0.85569971,  0.65041632,  1.02810478,  2.14719769, -1.08794627])"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 6
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "UlFDh2_WonZa",
        "colab_type": "code",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 513
        },
        "outputId": "eac313b1-5858-4dd8-cdd5-103c449000d6"
      },
      "source": [
        "plt.figure(figsize=(16, 8))\n",
        "g = sns.lineplot(data=zero_mean_series)\n",
        "g.set_title('Zero mean model')\n",
        "g.set_xlabel('Time index')\n",
        "plt.show()"
      ],
      "execution_count": 17,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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REZnLplLGiMcOi0Uc+lifk2dA+81S/PEVLLrjI25E/E7cNKAAjWVLcNosCLht\nR36uJ00GXaYfwb29kjrS+pXdIn4nQ4io78xvZHFh0g8ACLjUm5kcwW3fcwC+F8C7hBC3tX/+jgHP\nS0REZArJXLmp85+AegZU4RqWvrKYyAEAnoo8vh5ECIFrsyOGBBGpK1hcUO/bG2s66EIqX0GxYs4/\nd4lcCSvJgnEFqM+JZL6Maq1uyPMRddpWvoK1rSLOTwYAgCO4R30CKeUXpZRCSvm0lPJZ7Z//YcTF\nERERmUFSKTe1ggXgGdB+tBhX4HFYMe7fGxB0dXYEK8kCYpmjjbh2YgeobtLkSbi3DTz/CQBhvxNS\n7oSDEZndfFQPIFI7oBzBJSIiooaS+XJTK1gAwOOwoVStszvTR5YSagLuft3Jq7Nq0XTUfaCxTMnw\nHaC6aZPvAr29kobVIvCGY0FDni/iUwv5GM+BUp+Y31DzWc8/UYCyA0pERET7aqkD6rQCAPImHYek\nvRYTOZx+YvxW97rpIJw2y5GDiKKZYkcCiABgKqR1QE2ahHt7JY3zE364HVZDni/iV78X4zwHSn1i\nbiMLv8uGKe1mkdNmhdNm4RlQIiIi2qtWl0jlyxht8gyo16ne2c7zHGhfKFVreJQq7Akg0jlsFjxz\nPHSkDmiuVIVSrnVuBFfrrG4ccUy4E+p1iZdX0rg8Y8z5TwCI+NRfb4IdUOoTegDR7imLgNvOEVwi\nIiLaK50vQ0o03QH1aF2eHM+B9oXlzTykxJ4doLtdPTmCV9e22g756eQOUABwO6wY8dixljbfCO79\neA7ZUtWwACIACLMDSn1ESon5aBYXtAAiXcBlQ4YjuERERPSkVF4NOhn1Nde98jq0DihXsfSF+9oK\nltORBgXozAgqNYlXHm219Rp6ATreoQ4ooAYRmTGE6NaKHkBkXAHqcdjgdVi5C5T6wtpWEdlidfv8\np87vsnMEl4iIiPbazKkF6FizHVDtDChXsfSHpYRagJ5s0AG9ogURtbuOJZZRC6XxDp0BBdQgIlMW\noMtp+F02nA7vf8a2XeouUKbgkvnpAUQXnihA1RHc4bxRyQKUiIioAX3VQytrWAB2QPvFUiKHsM+5\nvRh+P6NeB05HvLjxoL1zoDsjuJ3sgLpMmYJ7eyWNZ0+EYLEYu/807HMinjVfwU30pNfW1RUs5/Z0\nQG3I8gwoERERPWmz1QJU74CW2QHtB4txpeH4re7a7AhuLKcgpWz5NaKZEjwOK3xaQFUnTIfcSOcr\nKJjoz12+XMX8RsbQ8586dkCpX8xvZHEs5N5zkyvgsiNTGM4blSxAiYiIGtA7oCMtpuAqDCHqC0sJ\npWEAke7a7CjS+cr2mdFWRIo5iE8AACAASURBVLNFTARc++4ZNYqehGumLugrj7ZQl+hYAcozoNQP\n5jeye85/AkDAzQ4oERER7SOplOF32eCwNfcj0+NgAdovtvIVbCrlA1ew7KafA73ZxjqWWKaIcX/n\nxm8BYCqkrWIx0TnQ21oAUScK0LDPia1CBaWqeTq+RE8qV+u4H8/tX4C67ChV622na/czFqBEREQN\nJJVy0wFEwM4alryJRiFpf4uJHADgdOTwgJynIl6EPPa2goiimVLHVrDopoJuAGriplncXk5jZtSD\nsSYTpFsR0Qr6TY7hkoktJnKo1uWeACJAXcMCANkhDCJiAUpERNRAUiljpIUC1G61wGGzQGEIkenp\nCbjNdECFELg6M4IbLXZApZSIZoodDSACgKmg3gE1zwjuy4/SHel+AmoHFADHcMnU5jfUAKInd4AC\nagougKEcw2UBSkRE1MBmix1QAPA6rMhzDYvpLSUUWC0CM6Oeph5/9eQI7scVpJTmu26ZQhWlar3j\nHVCX3YpRr8M0HdCtQgXrW0VcnNr7xtsIegc0kWMBSuY1t5GF3Sr2DTrzax3QYVzFwgKUiIiogZRS\nbjoBV+d12tgB7QOLcQUnRtxNn++9OqOeA22lCxrVVoWMd7gABdQgIrOcAb0XU8ebz44bu/9Tpxeg\n7ICSmc2tZ/BUxAe7de/fMXoqLjugREREtE1KiaRSxqi3tfFJr8PGEKI+sJhQmhq/1T1zIgS7VeDG\ncgsFqL4DtMMhRAAwHXJhLW2OEdyFqLb7cGLv2Tcj6FMJLEDJzA5KwAUAv1aADuMqFhagREREB8iV\nqijX6hj12g9/8C4ep5UhRCZXr0s8SCg4FW6+Q+eyW/G66SBuPGilAFULpE6P4ALAZNCFdZN0QBdi\nObjsFhwbcXfk+V12KwIuG0dwybS2ChWsbRUPLEADbn0Elx1QIiIi0ug7QNkBHTwbmSIKldq+Z7Ma\nuTo7gpcfpVGu1pt6vN4BHe9wCBGgJuFuFSrIm2D8eyGWw1MRH6yWzu0+jfidiLMAJZO6G9UDiA4o\nQDmCS0RERE/SC9BWQ4g8DnZAzU5PwD3dwgguAFybHUGpWsera1tNPT6WKcLvsm3vh+0kPQnXDF3Q\ne9Fsx85/6sI+JxJZrmEhc5rTEnDP75OAC6g/J6wWwRFcIiIi2rHTAW2tAPUxhMj0FvUVLG10QIHm\ng4i6sQNUp+8C7XUQUbaojh6e7dD5Tx07oGRm8xsZ+F02TAf3//4XQsDvsrEDSkRERDs22yxAPU4r\nFK5hMbXFeA5uuxWTLRaH4wEXToy6my5AY9nO7wDV6R3QXgcR3Y+rxf2ZLnRAGUJEZjW/kcWFST+E\nOHgM3e+ycQ0LERER7Wi3A8ozoOa3pCXgNnpzeJCrMyO4/jAFKeWhj41mSpjwd6cDOqkVoL3ugOoJ\nuJ0ewY34nciVqihw3J1MRkqJuQYJuLqAy45MgR1QIiIi0qSUMpw2CzwOa0tf53HYUKrWUa01F1RD\n3beUUFoev9VdPTmKeLaER6nGnUYpJWLZYld2gAJqMuyo14G1Hheg92I5OGwWzIx6Ovo6+i5QJuGS\n2axtFZEtVg88/6kLuOzIsgNKREREuk2ljDGvo+UumdepFqz5CjszZlSq1rCSzOOpFgOIdNe0c6DX\nHyYbPi6Vr6BSk10bwQXUMdyNrd6O4N6NZnE67IXN2tm3mRGf+vvKc6BkNvMbGQAHJ+Dq1BFcdkCJ\niIhIk1TKGPW1Nn4LYDvxNM9zoKa0ksyjLlsPINKdm/DD77Qdeg5UX8HSrRAiQA0i6nUK7kIs1/EA\nImCnA8pzoGQ2egLuuUO+DwJujuASERHRLptKGSOe1gtQvQPKJFxzWtRCck6F2zujaLUIPDsTwvUH\nzRag3e2A9jKEKF+u4lGq0PHzn4AaQgSwACXzmd/IYjroQtBtb/g4NQV3+H5OsAAlIiI6QFIptbwD\nFFBDiAAwiMiktlewtDmCC6jrWOaj2Ybjc7GMWhiNdymECACmQi5kitWe/dm7H1N/b7tRgI5p0wk8\nA0pmM7+RxYWpxuc/Ae0MaKmKWv3wQLNBwgKUiIjoACmlglFv690rj94B5QiuKS3FFYR9jkO7E41c\nmx2FlMDt5fSBj9E7oONd7oAC6NkY7kJMS8Cd6HwBardaMOp1sANKplKp1XE/njs0ARdQR3ABIDdk\nNytZgBIREe2jVK0hV6pud1laoXdA8xzBNSV9BctRPDsTgkUA1xucA41miwh57HDaWktRPoqpoBtA\n71axLMRysFsFZseO9vvbrLCPBSiZy2JcQaUmDw0gAtQRXABDdw6UBSgREdE+9B2gRzsDyg6oGS0m\ncjjd5vlPnc9pw4XJAG42KkC7uANUp3dA13qUhLsQzeFU2At7hxNwdRG/kyO4ZCpzWgJuUx1Ql9oB\nHbYkXBagRERE+9jMqQXoaDtnQJ16Ci47oGazVaggkSu3nYC727WTI7i1nDpw32ssU+zq+C2wk7jb\nuw5oFmfHO5+Aqwv7nFzDQqYyt5GFzSKauskVcKs/K4YtiIgFKBER0T5SebUAbWcEV1/DMmznevrB\nAwMCiHRXZ0eglGuYj2b3/Xw0U+rqChYAcNmtGPM6sN6DDmixUsNyMo8zXQgg0kV8TiSyZUg5XCEu\nZF7zG1k8FfHBYTu8zNrugHIEl4iIiPQR3HY6oB6HOoKb5wiu6SwmcgCApwzogF6dHQGAffeB1uoS\n8VypqytYdFMhV09CiO7Hc5CyOwFEuojfiUKlxnF3Mo35jWxT47fATgHKDigRERHtjOC2cQbUbrXA\nYbNwD6gJLcUVWARwYtRz5Oc6FnJjIuDcdx/oplJCrS673gEFgMmAG+vp7heg92Jqcd/tEVyAu0DJ\nHDLFClbThaYL0O0QIp4BJSIioqRShtUi2l7V4XVYkecaFtNZTCg4PuIxJJlWCIFrs6P7dkB7sQNU\nNx1y9WQEdyGag9UicDJ89OK+WRG/WoAyiIjM4O6GOo5/carFArQwXDcrWYASERHtI5kvY8Rjh8Ui\n2vp6j8PGDqgJLcYVnDZg/FZ3ZXYEq+nCntAffQdoT0Zwg25kilUoXT6DvBDLYnbMmOK+WXoByg4o\nmcGcVoCenww09Xib1QKvw4osO6BERESUzJXbOv+p8zltXS8AqDEppSE7QHe7dsA50KjWAe3FCK6+\niqXbXdCFWA7nujh+C+yM4LIDSmYwt5GB32XDdLD573u/y84RXCIiIlJHcI9SgHqcVoYQmUw0U0Kh\nUsNpAwvQS9MBuOwWXH+YfOK11A6o3qHrpp0CtHvnQEvVGh5u5rsaQASoIWEWwQ4omcP8RhbnJ/wQ\novnJmYDbxhAiIiIiUkNkjlKAeh3sgJrNYlwNyTkdMa5IslsteOZ4aE8HNJYtIuxzwG7t/lutqaAb\nALoaRLSUUFCry66uYAEAq0Vg1OtkAUo9J6XEXAsJuDp2QImIiAiAAR1QBzugZrNo4A7Q3a6dHMGr\naxnkd535jWZKPQkgAoDJoAsOqwX3tYK7Gxai3U/A1UX8To7gUs+tbxWRLVZxocUCNOCyMYSIiIho\n2NXqEulCBaPe9scnvU6GEJnNUkKBy27BpMHnMq/OjqBWl3h5ZWv7Y9FMsScBRADgsFnwumMB3Fze\nm87bKQuxHCwChgY8NSviZweUem++xQAiXcBtZwgREdF+VpJ5fOyvFyGl7PWlEHVcOl+GlMDYUUZw\nnVzDYjaL8RxOhX1tJxsf5MqMGkS0u+CLZko9CSDSXZkZwSuPtlCu1rvyevdiWcyMeuCydy8BVxf2\nOZDQ9vYS9cpOAm6rI7g2ZHgGlIhor9+98Qg/+0evYSXZ/d1yRN2WVNQ3syNHPAOa4xlQU1lKKIYG\nEOlCHgfOjPtw/YEaRFSp1bGplDDe4wK0VK3jtfVMV15vIZrDmR6M3wI7HVDeIKVemt/IYDroanl3\ndMCldkCH6c8vC1AiaspqWi0873TpzQxRL21qBehROqAehw2lah3VWnc6UNRYuVrHSqpg+PlP3bXZ\nEdxcTqNel0jkSpCyNztAdVdmQwD2rofphEqtjqWEgnNdTsDVRXxOlGv1oTtHR+bSTgARoIYQVWoS\nxcrw/KxgAUpETVljAUpDJKUVoEdKwXWqo4j5CsdwzWA5mUetLjt2RvHK7Ai2ChXcj+d2doD2KIQI\nUJNwp4OurpwDfbipoFqXXV/BotNX3cQZREQ9UqnVcT+ea/n8J6CuYQEwVEm4LECJqCnbHdA1FqA0\n+IzqgALgOVCTWOpQAq7u2qx6DvT6w9T2DtBengEFgMuzI7i1nO7469ztYQIuoHZAAe4Cpd5ZjCuo\n1GTLCbiAOoILYKiCiFiAEtGh6nW5vU+uW+eJiHpJPwMa8hy9A8okXHNYSmg7QMOd6dKdCnsx6nXg\nxsMUYloh1MsRXEA9B7qaLmwXxJ2yEM1BCOApA/ertiKsdUC5ioV6ZW5DfW/U3giuerNya4hGyFmA\nEtGhErkSyrU6joXcWE0XsJUfnrt0NJySShl+lw0OW/s/Jr1aB1RhEJEpLMYVjHkdCHpaCwhplhAC\nV2ZG1AI0U4RFAGO+Xheg6jnQmx0+B7oQy+L4iBtuR/cTcAF2QKn35jeysFlEWzdhAlpoEUdwiYh2\neaSN3/6ti+MAeA6UBl9SKR9p/BYAPHoHlCO4prCYUDo2fqu7dnIESwkFr61nEPE7YTV43UurXjcd\nhMNm6XgQ0b1YrmfjtwAQdNthswieAaWemd/I4nTE29ZNy4DWAc0O0SoWFqBEdCg9gOjdlyYBsACl\nwZdUykcKIAJ2OqB5juCawlIXCtCr2jnQv7qb6Pn5TwBw2Cx4+liwo0FE1Vodi3EFZ8d7M34LABaL\nQNjnRIIdUOqRuY0sLrQRQATsnAHNFNgBJSLatppSC9CnTwQR8TsZREQDb9OIAnT7DCg7oL2WLVYQ\nz5ZwusNnFN9wLAi7VaBcq2Pc39vxW92V2RF8YzWDUrUzfw6Xk3mUa3WcnehdBxTQdoGyA0o9kClW\nsJoutHX+E9gZwWUHlIhol7V0AX6XDQGXHZemAgwiooGXVEpHLkB3UnCH502FWXU6AVfnslvx+mNB\nAMC4CTqggHoOtFyr49UO3ThciOkJuL3rgAJA2OfgGVDqibsbWQBoKwEXAJw2C+xWwTOgRES7raYL\nOBZyAwAuTgWwEMuiXB2ehck0XKSUSCkVjHqP1sHyOrUQInZAe04vQDu1A3Q3fR1LL3eA7nZlRr2e\nTgURLUTVN99P9bgAjfidTMGlnpjTCtB2O6BCCARcdo7gEhHttpoubhegl6YDqNQk7ml3vYkGTa5U\nRblWP3oIkUMPIWIHtNfuxxUIAcyOeTr+WldnRwH0fgWLbjzgwvERd8fOgS7EcjgWcsOn3XDpFbUA\nLaNelz29Dho+8xtZ+J227fdJ7Qi47RzBJSLabTWVx7RegE6ph+wZRESDSt8BetQRXLvVAofNwj2g\nJrCUUHB8xA2nrfNrQp47M4a//fpJPHcm3PHXataVmRHcfJjuyHMvRHM40+PuJwCEfU7U6hLpIeoi\nkTnMb2RxbtIPIdpPvfa7bBzBJSLSZYsVZIpVHBtRC9BTYS9cdguDiGhgbRpUgAKA12FFnmtYem4p\nkcOpcHeKJL/Ljl//B1dxYrTz3dZmXZkJYSNT3E40N0qtLnE/nuv5+U9A7YAC3AVK3SWlxNxGpu3x\nW13AxQ4oEdG2tXQRALY7oFaLwPlJBhHR4ErmjCtAPQ4bO6A9JqXEUlzB6Q4HEJnZFe1cqtFjuI9S\neZSqdZyd6H0BGvaxAKXu28gUkSlW2w4g0vldNp4BJSLSrabzAPDY2YZLUwHcWc9ASp61ocGTzBtX\ngPqcNnZAeyyWLUEp17oSQGRWF6cCcNktuGFwENFCVEvA7fEKFmCnA8ogIuqmue0E3PZ2gOoCLjtH\ncImIdKtaB/T4yK4CdDqArUIFa1vFXl0WUcfoZ0DHfAZ0QJ1WdkB7bDHenRUsZma3WvD08RBuLht7\nDlRfwWKGM6AcwaVemFvXEnCPeBMm4LZxBJeISLeaKsBuFYj4dhIdt4OIeA6UBlBSKcNps8BtP3pg\njddhYwpujy0m1CLpdKT3RVIvXZkZwZ21LRQrxnXkF6JZTAZcCLjshj1nu/xOGxw2Czug1FXzGxlM\nBV0Ieo72PeB32ZEv11CpDceKOxagRNTQWrqAqaAbFstOutuFST+EYAFKg2kzV8aY13GkREOdx2FF\nnntAe2oprsBps2AqYI69nL1yZSaESk3iG6tbhj3nQixnivOfgLpLMeJzsgNKXTW3kT1yABEABFzq\nGqPckHRBWYASUUOr6QKmQ4+/cfM6bTg55mUQEQ2kVL6MUQPGbwH1e4UjuL21lFBwKux97CbaMNKD\niIw6B1qvq/ugzTB+qwv7nYizA0pdUqnVcT+eM6QA9WtTBMNyDpQFKBE1tJYu4Fho7zoBPYiIaNBs\nKmWMep2HP7AJHq5h6bnFhDLUAUS6sM+J2TGPYUm4q+kCCpUazo73PoBIZ9YO6O/eeIRf/PO7vb4M\nMthSQkGlJo+cgAsAAbdWgBaG44YlC1AiOlClVkc0U8Sx0N7RtUvTASwn80Nzt46GR1IpYfSI53l0\nPnZAe6pSq2M5mR/qAKLdrsyM4OZy2pAE83sxPQHXPB3QiN9pyjOgv/biPXzsrxdRrzM5fpDoCbjn\nJ46WgAvsjOBmh+Q9FQtQIjrQxlYRdQkc25WAq9ODiPQEOKJBkcwZ2QG1oVipozokwRJms5LMo1aX\nOBU2T5HUS1dmQohnS3iUKhz5uRZi6t/9Z000ghvxOZBUyqiZqNBbSihYSihQyjVDft/JPOY3MrBZ\nBJ4aP/oNLo7gEhFpVtPqD8vp0D4F6LSehGtcoAX1j618BR/53Ct4cT7W60sxVLFSg1KuGbKCBQC8\nTjVJN29g8ig1T1/BwhFc1eUZ9RyoEWO4C9EcIn4nQh5jvleMEPE7UZfApmKeLuiLczt/R762wWMr\ng2R+I4vTES+ctqMnpgfcageUI7hENPRWtbu1x/YpQMf9Tox6HXiNHdChsxDN4n/6tS/id762gn/3\nh3cMGeczi1Re3QE66jXmTbXHob6p4DnQ3lhKaAUoR3ABqAnmHocVNw0IIlqI5UzV/QTUc66AuXaB\nvjgfw/ERN4QAg/sGzGvrWZyfPPr4LcAOKBHRtrUGHVAhBIOIhtCfvbqB7/i1LyFXquH7nzuJxbiC\nL95L9PqyDLOZUwvQEYO6OnoHlOdAe2MxoWDEYzdVl66XbFYLnjkews3l9JGeR0o1AddsBWjErxag\nCe37uNeUUhUvLSbx3tdN4uSYl0dWBki2WMFqumBIABGg7rEVAshwDQsRDbvVdAFhnwMu+/7jJZem\nA5iPZodmcfIwq9clfvnzC/jwb93AmXEf/r8feQ7/4r0XMOZ14JNfftjryzNMUlHfuBo2gssOaE8t\nxnM4HTFXkdRrV2ZDeG09g8IR9tOubxWRK1VxZsI8CbjATgFqlg7ol+4lUK7V8a4L47g45cccR3AH\nxt2oHkBkzPeAxSLgc9oYQkREtJou7Dt+q7s0FUC5Wt8+Z0WDKVeq4p98+gZ+8fN38feuHMNnfvDN\nmAq64bJb8YE3nsBfzEWxksz3+jINYfgIrtYBzZWG46622eg7QGnHlZkRVOsSrzxqvwu6oCfgmqwD\nqo/gmiUJ98X5OHxOG66dHMWFyQAeJvNQ+HfBQNhOwDWoAwoAAZedZ0CJiFbThX3Hb3UXtSTcO+sM\nIhpUDzcV/L3/+CX8+Z0ofvp9l/AL3/XMYx3xD75pFhYh8KmXBqMLqo/gjhlUgG53QDmC23W5UhWx\nbIkF6BP0IKIbRwgiWtC6P+dM1gH1Om3wOKym6IBKKfGF+RjeeiYMh82CC5N+SLnTOaP+Nr+Rhc9p\nw/F9tgS0y++y8QwoEQ03KSXWDumAno544bBZGEQ0oL64kMC3/+qXEM2U8Jv/8E34R289BSHEY4+Z\nDrnxnksT+MzfrKA4AEmvSaUMq0Ug4DJmD+jOGdD+/73pN0vaZMZTTMB9zKjXgdNhL24+bL8Dei+W\nw5jXYdikgJEifqcpCtC5jSzWt4p414VxADs3bPXOGfW3uY0szk349vxMPIqAy84RXCIabkmljGKl\n3rADardacH7CjztrPNcySKSU+NhfL+L533gJkwEX/uCfPYe3ng0f+Pjn33wS6XwFf3B7rYtX2Rmb\nShkjHjssFmPeVOyk4LID2m2LCXVMlDtA97o8M4Jby6m2E6wXYjmcMdn4rS7sc5piBPcFbf3KO85H\nAKhp8j6njUm4A0BKifmNLC5MGZOAqwu4bRzBJaLhpu8APXbIeImehDtIqziGWbFSwz//7Mv42T96\nDe+5NInP/dO3YHascQfpm0+P4vyEH5/48oO+/3OQVEqGdnW8TrUAZQe0+5YSCoQAZsc8vb4U07ky\nG8KmUsZyG2e3pZRYiGZxdsKcBWjEZ44O6ItzMbz+WADjARcANWTm/KSfSbgDYCNTxFahYlgCri7g\nsiNbYgeUiIaYvoKl0QguoCbhJpUyopne/8Cno1nfKuC7//NX8Llbq/iJd5/Df/zgle0CqhEhBJ5/\nyyzurGdww4D9gr2UUiqGFqAehzaCyw5o1y3GFRwLuQ9M8R5mV/RzoG18v8ayJWSKVZwdN9f5T13Y\n70C8xx3QdL6Mm8spvPP8+GMfvzjlx2sbvGHb77YDiAw+A+13sQNKREPuUaq5AlQ/18Kxov5242ES\n7/+VL+F+LIePfu9V/Oi3nm1pDPU7nj0Gv8uGT36lv8OINpUSxrxOw57PbrXAYbNwD2gPMAH3YOcm\n/PA5bbjZRhDRQtScCbi6iM+FdL6CcrV368H+8m4cdQm888LjBeiFyQCyxSrWtoo9ujIywrxWgF6Y\nNHoEVz0DOgw3KAwpQIUQvyGEiAkhvmHE8xFR762li/A4rAh5GoexXJhS7wDeYQHat37na8v4wEe/\nCp/Tit/74efwntdNtvwcXqcN33X1BP746+uIZfr3zVVSKWPEa0wAkc7rsHIPaJdJKbGUUHCaBei+\nrBaBZ0+E2goiWoipb77PmHUEV9sFuqn0rgv6hfk4Rr0OPHM89NjHL2o/L+f487KvvbaewWTAheAh\n749aFXDZUZfDcWTDqA7oJwC816DnIiITWE3nMR1yH5rwFnDZMTPqYRBRH6rU6vjp//4NfORzX8c3\nnx7D7//wW4+0VuH5N8+iWpf49EvLBl5l99TqEulCBaMGdkABNYiIHdDuimdLyJWqOB0xZ5FkBldm\nQpjbyLQ8Hr4QyyHksSPiM/b7xChhnzpCn8iWe/L6tbq6fuXt5yKwPjFFov/9yiTc/rWxVcSffGMD\nb2sQzNcuv0s98pIpDP45UEMKUCnlXwFIGvFcRGQOa+nioeO3Oj2IiPqDnuD3wY+9hN/66kP84Lec\nxie+/41Hvpt7MuzFO85H8NtfW+7p+Fu70vkypDRuB6jO62QHtNsWE+oKFo7gHuzy7AjqEnj5UWtd\n0HvRHM6OG7t+wkh6BzSe680kxsuP0kjlK9vpt7v5XXacGHXz52Uf+5UXFlCXEj/6rWcNf+6AW/0Z\nnC0O/g3Lrp0BFUJ8WAhxXQhxPR6Pd+tliahNq+lCwxUsu12cCuDBpsKgFRPLl6v4/J0ofur3vo63\n/l8v4tt+6a/w8koav/S/PIuP/J2Le+7Ut+v73nwS8WwJf/LqhiHP101JRe2YGL3b0OtkB7TblliA\nHurKCTWI6GYLQURSStyNZXHGpAFEgLqGBUDPknBfnIvBIoC3n9tbgALquUGO4Pan5c08PvM3K/jA\nN83gxKjx6drbHdAh2AV6eLyhQaSUHwXwUQC4du3a4J+uJepjhXINSaWM44esYNFdmg5ASnWs6Ors\nSIevjpqhn4F7cT6OL8zH8NJiEuVaHV6HFc+dCeOfvesM3nVhHBPaigCjvP1cBLNjHnzyyw/w7c9M\nG/rcnbbZqQLUYePNmS5bjOfgsFmanuIYRkGPHWfGfbi53HwHdFMpI52vmDaACNjpgCZyvRnBfXE+\nhiszIwh59v975OJUAH/xWhTFSo0JzX3mlz5/FzarwI+860xHnj/gUjugwzCC27UClIj6h74DdDrU\nXHFyaVpNgruznmEB2kPFSg1fXdzEF+bjeHE+hoeb6o6/M+M+fN9bZvGO8+O4dnIETlvn3vRYLALf\n+82z+Nk/eg3fWN3C648FO/ZaRutUB9TjsCLR47UQw2YpoeDUmLelJOdhdGUmhD+/E4WUsqmR2rtR\n9eyiWXeAAoDLboXfZetJBzSWKeIbqxn85LedP/AxFyf9qEs1TfgNx7v39+OX7yfwF6/F8NPvu9S1\n1xwkd6NZ/N7tVXz4bae3d7sabZhGcFmAEtEeq9s7QJsbMZkOuhB02xlE1AMryTxenI/hxbkYvrK4\niWKlDpfdgrc8FcYPvPUU3nF+vCOjQo1817UT+IU/u4vf/MoD/PvvfKarr30UegFq/BlQjuB222JC\nwTkTj4maxZWZEXz2+iM1MbiJwKZ7MX0Fi7l/byM+Z092gX5hXj1i9q4n1q/sdkFfXbaR6WoB+qmv\nPsT/+PoGfvLbzrPz2ob/8Gd34XXY8ENvf6pjr8ER3BYJIX4HwDsAhIUQjwD8aynlx414biLqvrUW\nO6BCCAYRdZGUEr/0+QX84StruB9Xz7rNjnnwgW+awTvOR/DNp8d6+gYj6Lbjf75yDP/txiN85G9f\nxIjBBV2n6AWo0dfr4RqWrqrU6ljezOO9bawTGjZXtImVGw9TTRWgC9Ec/E4bJgLmTMDVhf3OnnRA\nX5iLYSrowoXJgwv0mVEP3HYr5ta7l4QrpcT1B+pZ342tIk7ybHRLXl5J409e3cCP/61zHf15Nkwp\nuIYUoFLK7zHieYjIHFZTBVgtApMtjJlcnArgt7/2ELW6NCzQhvYXy5bwy3+xgKePB/Gv3ncJ77ww\nbrqwleffPIvffmkZywaPxAAAIABJREFUn7m+0tE7xkZKKmUEXDbYrcbm8/nYAe2qR6kCqnVpuu8J\nMzoT8cHvsuHmchrfde3EoY9fiGVxdsK8Cbi6iM+J17p8Q7RcreOL9xJ4/zPTDX9/rBaBc5P+rl7f\no1QBMa0gX2cB2rKf/7N5jHod+EdvO9XR13HarHDaLEMxgtu1FFwi6h9r6QImAy7YWngjfmk6gGKl\nvp0+SZ0Ty6hvJH74nWfwD996ypRvtC9MBvCmU6P4ra+oNyX6waZSNvz8J6DuAS1W6qjW+m81TT9a\nSqhjoqcj5vu+MBuLReDyzAhuLTeXhHsvljP9+C2gBhF1ewT3+oMkcqUq3rnP+pUnXZz0Y24jAym7\n83fjzV3/fzcyha685qD46uIm/nohgX/y9qfgc3b+5GLAbR+KEVwWoES0x6N0oenxW92lqZ0gIuqs\nWFbdbzfuN/cY3IfechKr6QJemIv1+lKakupQAep1quPQ+QrHcLthURtLPx02b1COmVyZCWE+mkX2\nkDe9SaWMRK5s6gAiXcTvRLZYRbGL33MvzsfgsFrw3JnwoY+9OBVAKl/Z7kp22o2HKbjs6lv+9a3e\n7EftR1JK/PyfzmMi4MT3vnm2K68ZcNmQYQeUiIbRWrrQ8vqCM+M+2K2CQURdoL9p6VQSn1HefWkC\nU0EXPvnlB72+lKaoHVDji3qPQ71rznOg3bGYUBDy2Pvm7HGvXZkZgZTAyytbDR+nBxCdMfEKFl3Y\np/6/72b69AtzMbzp9Ci8TXTJ9DOi3RrDvf4ghWuzowi67dhgAdq0L8zHcf1hCj/6rWe7lqvgd9mH\n4gwoC1AiekytLrGxVcR0iwWow2bBmXE/O6BdoIdr6G+yzMpmteCDb5rBF+8lcC/WvcCNdiWVkuEJ\nuMBOB5TnQLtjKa6YcizdrJ6dCUEItUvWyEJMX8HSHyO4ALoWRLS8mcf9uIJ3nj84/Xa3C5PqxNDc\nRuf/XsyVqpjbyODK7Aimgi52QJtUr0v83386j5lRD767ifPRRlFHcAf/ZwULUCJ6TCxbRLUucWyk\n9QXul6YC7IB2QSxbRMhj7+g+T6N84I0zcFgt+K2vPOz1pTQkpURSKXeka8YOaHctJnIcv21BwGXH\nuXH/Y+cE97MQzcHrsGI6aO7JCwCI+NRr7FYB+uK8eszgnQ3Wr+wW9NgxHXRhrgs3bF9eSaMugauz\nI5gMutgBbdIff2MDd9Yz+PF3nzU8mK4Rv8t26Dj8IGABSkSPWU3pK1jaKECnA0jkSttnFKkzYpmS\n6c9/6sI+J9739BR+98YjU/9QzZaqqNQkO6B9TilVEc2UGEDUoiuzIdxaTqHeIDBsIZbFmXHzJ+AC\nQNivj+CWu/J6L8zFcCrsbanzfmEqgNe6sIrlxsMUhAAuz4S0Dmh/hxCtbxWwle/sz5JqrY5f+PN5\nnJvw4dufOdbR13pSwGVHpjD4PytYgBLRY1a1HaDH2ylA9QXbXdxvNoziuRLG/ebvQuief8tJKOUa\nPndztdeXcqCUtgO0IyFEWgdUKQ3+m4pe01O4OYLbmsszI8gUq1jUEoT3sxDN9cX4LQCMebs3glso\n1/CVxU28o4n0290uTPpxP55DqdrZyYjrD1M4P+FHwGXHZMCNRK7c8dfspOc//jW8/1e/2NFO7udu\nrWIxruAn3n2+62vlAm52QIloCOkFaFsdUD0Jl2O4HRXLlLbPOPWDZ0+E8MyJED75lQddWzvQqk29\nAO3AudqdDmj/vunrF395Nw5g5+8ias6VmREAB58D3dISW8/2QQARoGYShDz2roQQffl+AuVqHe9q\ncvxWd3EqgGpd4n6sc6vL6nWJWw9TuDKr/v+d0san9VVe/SZXqmIhlsNyMo+//7GvduQGQ6lawy9/\nXt2z/W2vmzD8+Q8TcNlRqta7muDcCyxAiegxq6kCQh57U0l+Twp67DgWcjOIqIOklIhn+2cEV/d9\nb57FYlzBl+5t9vpS9pXURvVGPZ08A8oOaCeVqjV84ssP8LazYZxkB7Qlp8NeBN123HyY3vfz9+J6\nAFF/FKAAEPE5u9IBfXE+Bo/DijeeGm3p6y5Oqd3kuY3O/bxciOWQLVVxVbvBMKkVoP0aRKSfmf2h\ntz+FtXQB3/vxl5DOGztm/V+/toLVdAE/+W3nezJuHnCpPy+yAx5ExAKUiB7TzgqW3S5OBXBnrXGc\nP7UvU6iiXKv3VQcUAP7u01MY8zrwCZOuZEl2YwSXHdCO+v3ba4hnS/jwt5zu9aX0HYtF4MpM6MAg\nooWoOpp7drw/RnABNQk33uEOqJQSL87F8dyZcMuhcCfHvHDYLB1NwtU72tdOqgWovt+7X8+B6je3\nP/SWk/jY89+ExYSC53/ja8gYNLKaL1fxKy/cw5tOjeKtTexz7YSA2w4AAz+GywKUiB6zmi60NX6r\nuzQdwFJCQYFvtjtCD3jqtwLUabPie944g7+Yi2Ilme/15eyR1O6ij3VgBNejjeCyA9o5Ukp8/K+X\ncGHS37M3jv3uyswIFmI5bO2zg3AhloPLbjnSzcluC/ucHR/BXYjlsJoutDx+C6hrqs5N+Dq6C/TG\nwxTCPgdmRj0AgMmg+v+vX5Nw76xlMOp1YCLgxFvPhvHrH7yCO2sZfP//8zeGnLH/xJcfIJEr9az7\nCagpuAAGfhULC1Ai2ialxGrqaB3QS1MB1CUwH2UQUSfEtJGyfgoh0v39N83AIgQ+9ZL5VrIklTJc\ndsv2uKyR7FYLHDYLckzB7Zi/WkhgPprFD7ztdF+ktJqRfk7w9sreMdy7UTUB19LlQJajiPg7P4L7\nwv/P3nvGt5Hf195n0InKAoAAq0gVNjWqbG/a1RZ379qx4ziO48RO8iRxbp44Tm7yPJ/r5N4U31w7\nTnMSZ20nTpy4xo7txN6itaTVrndXhVRZURQpsRMgAJLoHZi5LwYDQRJFosxgCv7fd7ZEYFYSBvP7\nn/M7Z5KtX6k0gIhj0CVsEu65+XUc6GkpfibMeg0seo1sLbgT3giG3dbif89jQ+34qw+MYnwhiI/9\n89ma9ibDySz+/sR1PDroxKFtldmp+cRqIAoogVAT4WQWz73pFfsyCBUQSeYQz+RrGkBHOkgQkZBw\nCqjTKi8FFGCDrZ4Ybsc3zixKLmBhLZYRZP+Tw6RTkx5QAXn25Rm0W/V4574OsS9FtuzrboaK2jiI\n6Jo/Jiv7LcAqoIlMXtD06eOTfgy5rXDbqvvOHHRZsBpLCzIor8bSmFtL4GDhYIFDrl2g2TyNyZUo\nhjtuDhh76x43Pvu+fXhtZg2/8tVzVSf8fvHUDCKpHD7xxC4+LrdqLIUBVOlVLGQAJQgCwzD45Lcu\n4Fe+OobLZB9QNnAJuJ0t1Q+gXS1NsOg1mPCSv3chCBQVUPkNoADw4fu2IZTI4vvnPWJfyk2sx9OC\nJOByGHUa0gMqEBOeCF65tooP37cNOg15rKkWs16DXe0WjN+yBxpNZeENp2QVQATcWFMQyoYbTmZx\ndj6II1Wqn8CNtOarAuyBjhUOEjYaQOW4AzoTiCOTozdMuH56tAt//O49OHE1gN/42jhyebqi116N\npfGlV2bxtr1ujHTY+LrkqrA2cRZcooASCBXzvfMevDDhAwCcuBoQ+WoI5VJLBQsHRVEYqlPBdiPi\nj6Rh0KpgriKlWArc3deKgXYL/ukn0qpkWU9k0WoSbqg36YkCKhRfPDUDo06ND97VK/alyJ6DvS04\nvxACTd/4bF7zyy+ACLgxgAplw31lehV5mqlq/5NjwCVcEu65hSB0ahV2d948ULltBllacLlD7VsV\nUI6fubsH/+Ptw3j+sg+f+NYF5Onyv1/+9vh1pLJ5/Nbj4qqfALHgEghV44uk8D++9yYO9DRj2G3F\n8cKOBEH6LAfZcJhagyaGO6y44o3c9BBD4Ad/NA2nxSDbPTeKovBz9/Viwhu5Y+egGKzH02gTIAGX\nw6QnCqgQrIRT+P4FD953qBs2o1bsy5E9B3paEC10LXJMFwdQeSmg9oKjQSgF9MeTftiatNjf3Vz1\na7SZ9XBa9IIc2J6bC2J3pxUG7c3pvC5bEwKxNLIVqoRiM+GJQK9RoX+TiqVfeKAPv/PUAL533oPf\n/86lsp5BPKEkvvrGPN57sAvbHeL/Gzfq1FCrKGLBJRAqgWEY/N53LiGTp/GZn9qHx4acGFsIIpxQ\n9kmOUvCEU9BpVDU/iA+7rUhk8piXYNqp3JFjB+itPD3aCYtBg6+8Jp0wovVYRpAKFg6TTiPoLlqj\n8k8/mQPNMPjFB/rEvhRFwAURlR4OXfPHoNOo0F1IUpULQiqgNM3g5JQfD+9yQKOu7VF60G3lXQFN\n5/K4uBy+zX4LAB02AxjmRqCdXJjwRjDosmz55/2rj+zAbzy6A984u4g//MHlLZ02f/3jaTAMg994\nbCefl1s1FEXBYtAQBZRAqIRvnVvCjyf9+J0nB9HvMOORASdoBnh5mthw5QCXgFtr0uGQmwQRCYU/\nmpJdBcutGHUavO9QN350yQt/RHwrWCqbRzyTF3QANerUSJBqIl6JpXP41zfm8ZbdbtkNR1JlW5sR\nrSbdTX2g074otjvMUMsoARcAWo06UJQwA+il5TBWYxkcGax+/5NjyGXBtC/GqyJ52RNBJkdvOIC6\nbGyC+oqM9kAZhsGEJ3JH++2t/L+P78LHHuzDV16bx6d/NHnHIXR2NY5vnl3CB+/uRVeLdO4hFoOG\n1LAQCOXiCSXxv34wgbv6WvHz920DAOzvbkazUYvjV4kNVw4sh2qrYOHY2c4+rJAgIv7xK0ABBYAP\n3dOLPMPgX99YEPtSECx0gAqqgBILLu9888wioqkcPvogUT/5gqIoHOhpvmkAnfLFZGe/BdiezTaT\nDoFYhvfXPn7VD4oCHt5V/f4nx6DbgkyexuxqnIcrY+ECiA5sMIByib1y2gNdiaQQTGQ3DCDaCIqi\n8PtvHcLP3tODL7w8g798aXrD3/e5F6egU6vwq0e283m5NWM1aBHZoI9XSZABlMALDMPgd//9IvIM\ng8+8d19RQVOrKDy8y4GTVwNkH1AGLIeS6GiuvV/SoFVjh8NMgoh4JpXNI5rKwWmVXwforWyzm/DI\nLgf+7fQCMjlxd5HWYsIPoEZSw8IruTyNL70yi0O9LRjtuf0hm1A9oz0tmAnEEUpkEE/nsBxKynIA\nBdgqFiEU0OOTfuzvbublnjHoYoeqK17+HENn54LoaTVu2Bd9QwGVzwDKuanKVUABdgj9n+/cjfce\n7MJfHJvG35+8ftOvX/FG8IOLHvz8/dsk16ttNWgRJQoogbA1Xzu9iFPTq/i9twyip+1mG8ORASfW\n4hlcWiZqmJRJ5/IIRNPobObHhjLcYSUWXJ7hHqQcZvkroADw3oPdCETTmODxwasa1uPsAEpCiOTD\nc5dXsBxK4mMP9Yt9KYrjQGGgH18I4XqgEEDULq8EXA6HRc97CFEgmsaFpTAeHahd/QSA7Q4ztGoK\nkzxVsTAMg3MLwQ3ttwBgNWhg1KnhCclrAKUoYMBV/gAKACoVhf/9nr14+143Pv2jSXzlJ3PFX/vs\nC1Mw6zX4ZQneQ1gLLlFACYRNWVxP4I//awL372jDB+++PQb/oV0OUBSpY5E63sKXER8KKMAGEa1E\nUlgTKIGwEfFH2b8jh1UZA+j+HjY98tJSSNTr4AbQFoFDiFJZuqJqAMLGMAyDZ1+ewbY2I44OtYt9\nOYpjX7cNahWFc/NBTPu4AVSeCqhDAAX05BT7LHOkhvqVUnQaFbY7zJjk6SBuKZhEIJre0H4LsMqg\ny2bASkQ+O6CXPRFsazNVVT+mVlH43Pv34/Hhdnzq+5fxjTMLGFsI4tgVH375oX40G4W771eLtYlY\ncAmETaFpBr/z7YugKPaUaaPwmlaTDvu6mskeqMTxFDpAO1tq3wEFbgQRERsuf/gj7IOUEnZAATaN\nsc2kE90dsVYXBZStQiAqaO2cmQviwlIYv/hgv+yCceSAUafBoMuCsYUgpv0xaNUUemUa8uSw6BGI\npXntHD4+6YfTosdIBXbQreCzO5tLMD50hwEUkF8X6IQ3Uvb+50Zo1Sr8zc+M4qFdDvz371zCb379\nPNpMOnzkfmnuj7MpuMr+riADKKEm/uX1ebw2s4b//21DmyaIHRlw4sJSiKhhEmaJG0B5CCECgCE3\na9kiQUT8ESh8fuSegstBURR2d9pwcUncfyPBeAZqFVUsABcCo449uRdqDzRPM0g0yHD77KkZtBi1\neO+BLrEvRbEc7G3BhcUQrq5E0G8311w1IhZ2sx6ZHI0oTxVI2TyNl6cDODLg5LWLedBlYYN24rUH\nJp2bD8Ks12DXJrZpt61JNjugkVQWC+uJivY/N0KvUeMLP3sQd/e1YmE9gV89sgOmKhTVemA1aBFN\n5xTtmJHnHYUgCeZW4/j0jybx8C4H3n+4e9Pfe2TQAYbUsUia5WASFHUjoKBW2sx6uKwGXhXQyZUI\nfv3fxhq2T9EfSUNFAW0mZQygALC3y4ZpfwyprHgBPWvxDFqMuprrhzZDaAX0705cw2OfPSm7cvlK\nmQnEcOyKDz97Ty+adGqxL0exHOhpQTyTx6vX1rBDpvZbgP8u0HPzQURTOV7qV0oZLKh7fOyBnp0P\nYrSneVN3gNtmgD+aRk4G94vJwjNErQMoADTp1PjShw/jrz4wip+79/aVMalgbWIPQ2MKftYhAyih\nKmiawSe/fQEaNYVPv2fPlieBuztssJt1OD5JBlCp4gkl4TDrodfw91DHZxBRKJHBx/75LP7zohfn\nF8XdGRQLfzQFu1mvKNvhnk4b8jQjahDRejyNVpNw6icgvAJ6ZSUKbziFM3Prgry+VPjSK7PQqlT4\nuXu3iX0pioYLIsrkadkm4AKsAgoAqzwNoMev+qFVU7h/h52X1+MYcrFq5eRKbffBaCqLqyuR4t/f\nnXDZDMjTDFYFqKjhmwkP65AZqcGCW4pJr8E793VAK2FV32Jgvy+UvAcq3T99gqT58quzODMXxKfe\nMVLslNoMlYrCQ7sceHk6oGhLgZxZDiV52//kGHJbcC1Qu7qVpxl8/GvjxdS+GR770uREIJqGUyEB\nRBx7umwAgEsi2nDX4xlBK1gA4RVQzk53bEK5u/ZrsTS+fW4JT492KsaGLlW6W5tgN7OfiZ1OeSbg\nAiUKKE/rP8cn/Ti8rRUWnu36DosebSZdUe2rlguLYdAMcGjb5gOou+B08oalH0Q04Y3AbtY11Gee\nWwdRchIuGUAJFXM9EMP/ef4qjg458Z4DnWX/3JEBJ0KJbMOqV1LHE0rytv/JMexm1S0uSbFaPvPC\nVZyaXsUfvXs3jDo1ZgK1vZ5c8UfTiqlg4XBZDbCb9aIGEa3HM4Lbmk0FBVQo+zg3gL406eM1cEVK\nfPX1BaRzND76oDSDQ5QERVFFFW0XseACAJaCCUz5YniUp/TbUiiKwqDbUrMCem4+CIoC9nc3b/r7\nXFb2u14Oe6AT3giG3FZed26ljrWggCo5iIgMoISKyNMMfvtbF2DQqvEnT29tvS3loZ0OqCjgBEnD\nlRw0zcATSvE/gBZ2NmoJIvrRJS/+7sR1fOCuHnzgrh702U2YbVAF1B9NS64wu1YoisKeTmsDKaD8\nW3DzNANfhLVnz68lcM2vvAOaVDaPf35tDkcGHLLtpJQbR4fa0W7Vo7fNJPalVE1zkxZqFcVLF+jx\nQpXcIzz1f97KoMuKq75oTS6xs/PrGGi3bKnQcgqoR+IDaDZPY2olxsv+p5zgdkCJBZdAKPDsqRmM\nL4TwP981Aqe1sgdhm1GLg70tpI5FgqzG08jkad4tuL2tRhh16qqDiKZ9Ufz2ty5gtKcZf/DOYQBA\nn92EmUDjDaB5msFaTHkWXADY09WMaX9UlBTXPM0glMwK2gEKlO6A8v/fuBZLI0czeN8hNhX2xSs+\n3t9DbL47voy1eAYfe1B6pfFK5acOdeGN3z8KnUa+j4oqFQW7WceLAnpi0o+eViO2O4QZyAddFqSy\nNObWqvt+y9MMzi+EcHCT+hWOZqMWeo0KKxK34F4PxJDJ0zVVsMgRzoJLFFACAcCUL4o/f2EKT424\n8M59HVW9xiMDTry5HIE/Ku1Tt0ZjOch+CXWUsc9bCSoVhSF3dUFEkVQWv/Qv59Ck0+DvPniwGI7U\n7zBjKZhAOideaqoYrMXToBnlVLCUsqfTBpoBrogQRBRMZMAwwnaAAiUWXAEUUK7Pb7SnBXs6bTg2\noawBlKYZfPHUDEY6rLh3e5vYl9MwKMXy6LIa8B/jHrz/C6/hL45N4Y2ZtYq/P1LZPF69voojAw7B\n/ly47uxq90Cn/VFE07myBlCKomTRBco9O/DZuSoHiiFEZAeU0Ohk8zQ+8c0LMBs0+KOnd1d9A35k\ngI0uP3mVpOFKCS7ch28FFGCDiCa8EdAV2IpomsFvfeM8FtcT+NsPHripGqbfbgLNAAtrCd6vVcr4\nI+wJvlOBA+jeQhCRGH2gXO+e0BZcY8GCK4QCyj1Eum0GHB1qx/hiiLfaCSlw/Kof1wNxfOzBfsUM\nRYT68afP7MWH7+tFPJPDX740jff/w+vY94cv4INffB1/8+NpnJtf37K+6PWZNaSyNI4IsP/JscNp\nhlpFVb0Hem4+CAA41Nta1u+XQxfoZU8EBq0KfXb57iFXw40UXOUqoNJsYCVIjr8/cR2XlsP4/M8c\nKMaaV8Ow2wqnRY8TVwP4qUObd4cS6sdyiB3mOnjeAQXYIKKvvr6ApWASPW3Gsn7mr398Dceu+PEH\n7xjGXX03f5n2F+xPM6vxhtoF4wYKh8J2QAGg3WqAwyJOENFKhH0AazMLO4Bq1SroNCpBFFBf4b/B\nZTPg6LATnzs2heOTfrxvi35mufDsqRm4bQa8ba9b7EshyJDhDiuGO9gVjnAiizdm1/DazBpeu76G\nz7wwBQAw6tQ4tK0V9/S34t7+NuzptEFTUtNxfNIPg1aFe/qFU+ANWjX67aaqV1bOzQVhN+vR3Vre\n97jbZsAbs9KubZrwRDDgsiqqeqwcNGoVTDo1ogpWQMkAStiSCU8Ef/Xjabx9r7vmBwCKonBkwIkf\nvulFNk9LuoepkfCEUrDoNbA18d+FWBpEVM4A+uNJH/7ipSk8M9qJD9+37bZf77MXBtAG2wPlBlAl\nKqAAsLfTJkoQ0dh8CBQFjHTYBH8vk04tSAquN5yCTq1Cq1GHNpMOHTYDXrziU8QAemkpjNdn1vH7\nbx0k3xeEmrEZtXhixIUnRlwA2ACyN2ZuDKR/9txVAIBZr8HhbS24d3sb7u234/jVAO7fbodBy19P\n9kYMuq0YXwhW9bPnFoI42NtctkvAZTPAF0mBphmoJDjgMQzbD/3WPY158GQxaBVtwSUDKGFTMjka\nn/jWBdiadPhf79rNy2seGXTgG2cXMTYfxN0CniYSymcpmBRE/QSAgXYLVBQw4Y3iqd2bf5HMrsbx\n375+HsNuK/7kmY1Tli0GLRwWPWZXlZf0uRnc3rQSd0ABtg/0+FU/4ukcTPr6fTWdmVvHoMsqyOHL\nrRh1GkF6QFfCSbTb9MWHyKPD7fjm2UWksnnBH5iF5tlTMzDrNfjpu3rEvhSCAmk16fCWPW68pTDk\nBKJpViG9zg6lx0vWhT72kPABWIMuC35wwYNIKlsMoimHQDSN+bUEPnh3+Z8Tt82AHM1gNS7NdHVP\nOIVwMttw+58c1iaNokOIyABK2JS/OX4NV7wR/MOHDvKWEnn/Djs0KgonpgJkAJUIy6GkIPufANCk\nU6PPbtoyiCiezuGX/+UsNCoKX/jQwU0fnBsxCdcfTcNq0Mh+oLgTXBDRhDeCw9vK22GqlVyexthC\nED91sKsu72fSq5FICxNC5Lbe+PweHWrHP782j1evreKxoXbe369eLIeS+K9LXnzkvm0VPYwTCNXi\nsOjx9r0dePteNmjRF0nh9Zk1TPtiePf+6sIXK2HIza6VXF2JVnQfHCuopgfL3P8EAFchdNAbSkly\nAOWeGRqtgoVD6Qoo8bMQ7silpTA+f/wanhntLNpV+MBi0OLQthYcnyR1LFLBE0ry3gFaynCHbdOE\nU4Zh8Dvfvohr/hj++gMH0NWyuVV3u6PxukAD0XTF1UdyYk9n/YOILnsiSGTyOFSngVcwBTSSuimo\n6+7+Vpj1GhyTeR3LP74yCwD4yAN9Il8JoVFptxrwrv2d+O0nB7bs1uSDQReXhFtZENHYfBA6tQq7\nO8sf1rguUKkm4U54IqAoVhVuRKwGjaJDiMgASrgjv/vvF2E36/Cpd4zw/tpHBpyYXInCK/EOqkYg\nls4hnMwKZsEF2PCp5VASoURmw1//wssz+K9LXvzuU4N4YKd9y9frs5uwFs8gnFDu6eCt+KNpOGoI\nAJM6TqsB7VY93qxjENGZOTaA49agK6Ew6zVI8BxCxDAMq4CWDKB6jRoP73Lg2BV/RenTUiKSyuLr\nZxbx1j1uQQ/HCAQp4bYZYDVocGWlsiCis/NB7OmyFevKyoE7tJJqF+iEN4w+u6nYodxoWJu0ig4h\nIgMoYUPW4xlMeCP4hfv7YDPyf+rHRZmfIHUsouMJsV8+QllwgdIgottPdU9NB/Bnz03ibXvd+KUy\nd2z6C5HsMw20B+qPpuC0KncABYA9nc24uBSq2/udmVtHT6sR7XVSlo0ChBAFE1lkcvRNCigAHB12\nIhBN46IIycJ88I3Ti4ilc/jYg0T9JDQOFMV2Z1eigKZzeVxaCpfV/1lKm0kHnVoFb0SiCqg3gmF3\nY9pvAbaKJaLgHVAygBI2ZNrHnr4NCGR92Ok0o7O5idhwJcBysDCANgv3EM59idwaL7+4nsDHvzaO\nnU4L/uw9e8tO7+tzNFYSLsMwrAVXoQFEHHs6bZhZjSMmQFLsrTAMg7NzwbrtmwKASc+/BZdzkbhv\nGUCPDDihVlF4SYY23GyexpdfncXdfa3Y29Us9uUQCHVlyG3F1ZVo2e6FN5cjyOTpigdQiqLgshkk\n2QUaTmaxuJ5tbL3qAAAgAElEQVRs2P1PALAatIgks2AYebpYtoIMoIQNmfKzytIugXoWKYrCIwMO\nvHptFZnc5gXQBGFZ5hTQ5vI6OqvBYdHDbtbfFESUyubxK189hzzN4AsfOlhR8mlPqxFqFdUwe6DR\ndA6pLK3YBFyOvV02MAxwuQ6q3fVAHGvxDA5vq+yhrRaMOv5DiLiHRy5QhKPZqMOh3ha8OCG/AfSH\nl7zwhlNlOyIIBCUx6LIgnsljMZgo6/ePzbMBRAd6Kr+XuWwGSe6AcpkRja2AapGjGaSyynxGJgMo\nYUOmfVGY9ZrbTtX55JEBJ+KZPM7OSbsIWeksh5LQqCjBh5vhDmvRgsswDH7/O5cw4Y3gL396P7YV\nuj3LRatWoafV2DAWXH+E6wBVbggRAOwuBBFdqsMAyt13Dtdp/xMQSgFlHx43ulc/PtyOyZUoFtfL\ne5CVAgzD4B9enkG/w4QjA06xL4dAqDuDd3AM3Ymz8+vobTNW9R3ulqgC2ugJuABbwwJAsUm4ZAAl\nbMiUL4odTnPZlshquG97G3RqFY5fJTZcMfGEknA3G6AWuIh62G3FNX8UmRyNr/xkDt8ZX8ZvPrYL\njw5WVxPR30BVLIEoN4AqWwF1WPRw2wx1GUBPz63Dbtahv8LDj1ow6TRIZWnkeQwGWgmnoFZRsG8Q\nUMVVsMjJhvvazBoueyL46AP9xV5TAqGR2NVuBkUBkytb74EyDINz8yEcrEL9BFC04ErN5jnhjcBu\n1iv+0HUzuOoppQYRkQGUsCHX/DHsajcL+h4mvQZ397feVPRMqD/LwSQ6bMKnTA53WJHNM/ja6QX8\n0X9dwdGhdnz80R1Vv16f3YS5tbhsUz4rwR9lT6iVbsEF2D3QS3WoYjkzt45Dva2CHrLdiknPJlQm\neFRBveEUnBb9hgdIfXYTdjjNOHZFPod8X35lFm0mHZ450Cn2pRAIomDUabCtzYTJMhTQxfUkVmNp\nHKxylcBtNSCTp7EW3zihXiwmPBGMNLD6CbAhRAAQVmgVCxlACbexHs9gNZYRbP+zlEcGnLjmj8nK\nIqY0lkNJQRNwObhdjk99/zJ6Wo348/fvq0nh6HeYkcrSkk3w45MbCqjyT4O5ICIhT31Xwiksridx\nqI77nwCKdQJxHvdAVyLJ2xJwSzk61I7XZ9ZkY+M6Nx/EEyMuGLTl10kQCEpjyG0pSwE9t8CuElQa\nQMTB7Y5LyYabydGY9kcb2n4LsDUsALHgEhqIqUIC7s46DKBHBhwAgBNTRAUVg2yehi+SQlcdevb6\n7CYYtCqYdGp84UMHi/aSWl4PAGYCyt8D9UfT0GlUxZ0QJbOni90DfXO5siL2Sqh3/ycHp4DyuQd6\nawforRwdciJHMzgpA6dJIpNDMJFFVx0OxAgEKTPosmJ+PbFlbdPZuSAseg12Oqt7XusopN9LKYjo\nmj+GbJ5p6AAiALAWFNCoQqtYyABKuI3pQgLuTqewFlyAHSJ6Wo04IeE6lnAyi9VYWuzLEISVcAo0\nA3TUYQBVqyj84TtH8OyHD/FyuLG9gapYAtE0HGZ9Xe2iYrGnkxtAhbPhnplbh0mnrvsDDqeA8pWE\nyzAMVsIpuKx3/vyO9rSg1aTDMRnsgXpC7ENwZx3uRwSClBl0WcAwwFXf5jbcc/NB7O9prjrDgXNP\nrBTqnKQAF1bY8Apo4ZA+kiQKKKFBmPZFYRE4AZeDoigcGXDg1eurSGX5rSfgi0988wLu+9Mf438/\nN1mXfsJ64uEqWOqkOLz/cA/u227n5bUcFj1MOnVDVLH4oyk4rcrf/wSANrMenc1NuCjgAHp6dh0H\nelugUdf3K9Ck41cBjaZzSGTym96r1SoKjw46cXzSj2xe2nH+3P2oHgdiBIKUGSocjm22BxpNZXHV\nF8Wh3uqdHHaTHhoVJSkFdMITQZNWjW1t9QuIkyKcBZcooISGYcoXxY52YRNwS3lk0IlUlsYbs9Kr\nY6FpBm/MrKHFpMXfnbiOI585gW+dXVRM8M2yjB/4KIpCv8OM641gwY2kFZ+AW8ruTqtgCmg4WftD\nW7VwXbd8hRDd6ADd/LDw6FA7Iqlc0XosVbxh7n6k/F1nAmEzOpubYNZrNt0DPb8YAsNUv/8JACoV\nhXartKpYJrxhDLotgifzSx29RgWtmiI7oITGYdoXq4v9luPe/jboNSocl6AN91oghmg6h08+OYjv\n/up96Gxuwie/fRHv/ttXcW5e2g9z5VBUQGU4gAKshbsRFNBALN0QAUQce7uaMbsaR1gA69HYfBAM\nAxzuq28AEXBjBzTGkwV3sw7QUh7caYdOo8KxCendY0tZDqVAUUC7tXH+rRMIG6FSURhwWTZVQM/O\nBaGigH3dtprey20zSEYBZRgGE55Iw+9/Auwhu9WgJRZcQmOwFktjLV6fBFwOg1aN+7a34aQEg4jG\nF4IAgAM9zRjtacF3/p/78Ofv2wdfJIX3/N1r+G9fHy8OcXJkOZREm0kn28TJfocJy6GkZO3bfJDO\n5RFKZBuigoWD2wO9LIAKenpuHVo1hdHu+g+gN3ZA+VJA2XvPVgqoSa/B/dvb8OKVFcn1/ZXiCSXR\nbjFAW2drNIEgRYbcFlxZidzxMzu2EMSAywpLjYF+Lpuh6D4Qm6VgEpFUruH3PzksBg2x4BIag2IA\nUR0HUICtY5ldjUtOzRpfCKHZqC0mrqpUFJ450IUff+IR/PqRHfjRmyt49LMn8JfHppHMyG8IWg6l\n6rb/KQR9dhMYBphfU26Nz40KlsYbQC8JMICemV3H7k4bmnT1P3QxcTUsPN0rvGFWMSxHHT863I7F\n9WTxHi9FPKEksd8SCAUGXVZEUzl4NlAn8zSD8YUQDvY21/w+nAIqhcOpYgARUUABsHugxIJLaAim\nC4lru9rrZ8EFgCMDTgDAiavSsoiNLQQx2t182z6sSa/Bbz85gJd+62E8NtiOzx2bwmOfPYEfXPBI\n4iZeLsvBBDps8h1AtzvYf6dKrmIpDqANEkIEAC0mHbpa+A8iSmXzuLgUxuFt9d//BABjwYLLnwKa\ngt2sh06z9Vf5Y4PtACDpNFxvOCXLfXQCQQiG3KwQcMVz+x7olC+KWDrHyy67y9aEdI5GKCH+oDPh\niUBFscM3gU3CJQoooSGY9sdg0WvgqvMOTk+bEf0OE45LqKsukspi2h/DaM+drXrdrUZ8/oMH8PVf\nugc2ow4f/9o43veF13BpSbgET75gGAbLoaSsFdBtXBeoxJRzPvEXBlCHubGUoT2dNt6DiC4uhZHJ\n06INoFq1CjqNilcFtNy0cpfNgL1dNhybkOYAyt2PyABKILBwq1AbBRGdm2fXg2oJIOLosEmnC3TC\nG0G/wyyKQ0WKWAwasgNKaAzqnYBbypEBJ16fWZOMlfVCIWHuwCYDKMc9/W34z48/gD99Zg9mAnG8\n8/Ov4He+fQH+qPg39DsRTGSRytKyDSACALNeg3arXtFdoP4GVEABYE+XDfNrCYR5PJXnUmAP8fDQ\nVi0mnXrLcvlyYTtAyz+YODrUjvHFUFFVlxJr8QwyObr4MEwgNDoWgxbdrU24snJ7ENG5+SAcFj26\neDhALnaBRsTfAyUBRDdjNRALLqFBmPbFsMtZ3/1PjiMDTmRyNF6bWRXl/W9lfCEEigL2lpkwp1ZR\n+MBdPTj+yUfw0Qf68N3xZTz6mZP4+5PXkc5JY6guZTko3wqWUtgkXAVbcCPsnl+bSSf2pdQVIfZA\nT8+uY1e7GS0i/lkadRreekC94WRFfc1Hh9rBMJBk4jjpACUQbmfQZcWkd2MF9GBPCy9igbuwhiO2\nAhpOZLEcSpIAohKsTSSEiNAAcAm4O+u8/8lxuK8FRp0axyelYcMdWwhip9MMa4UJc1aDFv/f24bx\n/G8+hLv7WvHpH03iic+9jKWgtIJyuA5QPk5QxaTfYVa0BTcQS6PNpIOmwZJB+R5A8zSDsfkgDolk\nv+Uw6dVI8FDDEk/nEEnl4Kpgh3vIbUFncxNelOAeqCfEPvySAZRAuMGQ24rZ1fhNSe/+aAoL6wkc\n2saPk8Nh0UOtokTvAiUBRLdjMWiRyOSRzdNiXwrvNNYTDWFTxErA5dBr1Lhvux3Hr/pFD/JhGDZh\nrhz77Z3od5jxpZ8/jH/8yGHMryXwvfMeHq+wdpYVojj0200IJbIIxjNiX4og+CNpOBqoA5Sj2ahD\nT6sRl5ZDvLze5EoE0XQOd4k8gPKlgK5EyusALYWiKBwdcuLUdEBy1UVEASUQbmfIZQHNsO40jrF5\n9p54gKdVArWKgtOiF10B5QbQITKAFrEa2OR0JaqgZAAlFBErAbeUI4MOLAWTuC5yqunsahzhZBaj\nPbVHnB8ZcKLfYcL4Aj8P0nzhCSXRpFWjxVhbh5jY9Du4ICJl2nD90XRDVbCUsqfTxpsCemaW3f88\n3CfuAGrWa5DgYc+dUyvaKwyMOzrcjlSWxqvXpLHqwOEJJWHQqmR/PyIQ+GSwMIxdKbHhnptfh06j\nwgiPVlUpdIFOeCJwWvQN1Xm9FVzHa1SBe6BkACUUmfKJk4BbyiPFOhZxbbhjhWGxFgW0lP3dzTi/\nGBRd2S1lOch27okROMUnfXauikWZNtxAIw+gXTYsrid5UbfPzAXR2dwkeuiWkacQIk6tqEQBBYC7\n+9pg1mskV8fiCbMJuHK/HxEIfNLTakSTVo0rK6UDaBB7O23Qa/hLiuW6QMXksidM9j9vwdrEDqCR\nJFFACQpm2i9eAi5HZ3MTBtotOC5yH+j4QhAWg6bYM1kroz0tWI1lsBQUP2WOwxNOorPFKPZl1Ex3\nSxM0KkqRe6A0zWA1lm7YE2FuD/RNT20qKMMwOD23jsM87UzVgknPkwW3oFa4KhxAdRoVHh5w4NgV\nP2haOgdinlBK9MMBAkFqqFUUdrksmPSyDrVUNo83lyM4yPO9zG1rwko4JdoheTqXxzV/jOx/3sIN\nCy5RQAkKRswE3FIeGXDg9Ow6YjxVFVTD2EII+7uboVLxM4yPdrNW3vFF6dhwl4NJdDbLf7dQo1ah\np82IWQUqoOuJDHI007AK6O4OdgC9WGOv7sJ6AoFoWvQAIoBVQPkIIfKGU2gxamHQVq6CPD7UjkA0\njYs896zWgidUWaIvgdAoDLksmFyJgGEYXPawXcYHeXJncbhtBiQyeURE2jWc9sWQoxmigN4CZ8FV\nYhULGUAJAMRPwC3lkQEnsnlGtB2leDqHqysRjPJ4gx90WWDQqjC+EOTtNWshmcljLZ5RjOLQbzcr\ncgc0UOwAbcwHc5tRi942Iy7VOICeLux/3iXy/ifApwKaqigBt5RHBhxQqygcm5CGDTedy8MfTZMA\nIgJhA4bcVgQTWfijaZydY58h+Aog4ih2gYpkw+UCiEY6yqu9axSsTawCSiy4BMUy5RM3AbeUQ9ta\nYNZrcEIkG+6FpRBoBrwEEHFo1Crs7WqWTBCRp2Df65R5BQtHv8OEubUE8hKyFPKBvzCANqoFF+An\niOjM3DqajVrs4MlSXwtGnRqpLF3zv9WVSKpqxbDZqMOh3hbJ7IH6wuy/czKAEgi3M+hin8uueCM4\nNx/EtjYj7GZ+vxO4e4lYQUQTngiMOjV6W+W/FsQnRAElKJ5rfvETcDm0ahUe3GnHiasBUfYRuCGR\ns83yxWhPMyY8EaRz4tcfLBd2UTuqVFCkRr/dhEyOLlY5KAV/oWqjUS24ADuALoeSWK8hiOjMXBCH\nelt5s9TXglnPnmgnalRBWQW0emX88eF2TK5Esbgufj9x8UCMDKAEwm0Murgk3CjGFoI42Mu/k4Nz\nU4ipgA65rZK4R0sJi14DioJo1mghIQMoAYA0EnBLOTLghDecwtVCNUw9GV8Iod9hQrNRx+vrjna3\nIJOncdkT2fo3Cww3qClFAe2zc1UsytoDJQoom4QLoGoVNBBNY3Y1LokAIoDtAQWAeA17oKksa6F3\n13C/fmyoHQDwkgRUUO5+RHZACYTbsRm16LAZ8PzlFazGMjjIs/0WYA85KQrwiDCAMgyDK54ICSDa\nAJWKglmvISFEBOUy5RM/AbeUhwccAIDjk/WtY2EYBuMLQd7qV0rhLL1SsOEuh5JQUZV3CEqVfgdX\nxaKsPdBANA2zXlMcWhqR3YUk3EtL1X1uzs5Jo/+Tw6RnQ4Nq2QP1R9iDiVoU0D67CTucZhy7Im7i\nOHBjACUWXAJhYwbdVpwvhBgKMYBq1So4zPpiunY9WQomEU3nSADRHbAatGQHlKBcrvmlkYDL0W41\nYNhtrXsdy+J6EmvxDK/7nxztVgM6m5skEUS0HErCZTVAq1bGLcBu1sFi0GBWYQpoI3eAclgNWvTZ\nTVUroKfn1mHQqoqJumLDHSbUkoTL7Wm5a7TQHx1qx+sza6LvFy2HUmgz6apK9CUQGgFuD9Ri0GCn\nU5hVKXdzkyhdoJwrjCigG2MxaES/RwuBMp4+CTUhpQTcUo4MOnBuPohwsn4fvLHCcCiEAgoA+3uk\nEUS0HEwqSm2gKAr9dhNmFFbF4o+mGtp+y7Gn01Z1Eu6ZuXWMdrdAp5HG151JV7sCulLYDa5FAQWA\nx4edyNEMTl6tr9PkVrxhZd2PCAS+GSoMZwd6WgTbk3RbDaLsgE54wlBRwIBLOiKIlLAatMSCS1Am\nXALuLgkk4JZyZMCJPF3fOpbxhSCMOrVgfxaj3c1YDiXhj4qz6M/hCScVs//J0e8wK1IBJQMoO4B6\nwimsxtIV/VwsncOEJyKZ/U+ArWEBagsh4lSKWgfQ/d0taDPpRE/DJR2gBMLmDLnZZxKhDscB9n4i\nygDqjWC7w0wcEHfA2qQhFlyCMuEScKWmgO7vboatSYuX6rijNLYQwr6uZqgFOmHkrL3nRVRB8zQD\nbyilOMWhz27CciiJZEb8lGG+8EfTcFrIg3m1QURj80HQjHT2P4GSHdAaLLgr4RQsBk0xUbda1CoK\njw46cXzSj2yerum1qoVhGMU5MggEvtnuMONPnt6DD93bK9h7uG0GRNO5uqttE54I2f/cBKtBi2ia\nKKAEBSK1BFwOjVqFIwMO/HjSh1wdHo6SmTyueCM40Mv//ifHSIcNWjWF8UXxBlB/NIUczSiu8qDf\nwSbhzq0pQwWNpXNIZPJwWokCOlJ4OKnUhntmbh1qFSWoalApN1Jwa1FA+VMMjw63I5LK4UwhrKne\nRFI5xDN5xd2PCAQ+oSgKP3N3D1pN/Kbzl8I5KnyR+qmgwXgGnnCK7H9ugsVAFFCCQpnyRbFTQgm4\npTy124VgIovTdXg4etMTRo5mMNot3MOqQavGsNsqahCR0ipYOIpVLArZAw0UKlgaPYQIYMu4+x2V\nBxGdnl3HSIe1aHuVAiZuAK1BqWc7QPn5/D640w6dRoVjE+Kk4RYDlZqldQBKIDQaXKhZPYOIrnjZ\nAKIRiYTESRFrE7sDyjCM2JfCK2QAJWDaH8NOCSXglvLQLgcMWhWef3NF8Pcam2eHQiEScEsZ7WnB\nxaVwXVTdjVgKKrP0nRtAZ1eVUcXiL5xCkx1Qlr0VBhFlcjTOL4ZwSIDS9lpoKoQQJWpSQFNw8aSM\nG3UaPLDDjhevrIjygEMqWAgEacC5Kryh+g2gE4UBlNtxJdyO1aAFzdR2aClFyADa4KzF0liXYAIu\nh1GnwcO7HHj+sg80LezD0fhCCL1tRrSZhX3gH+1pRiKTL4Y/1RtP4ctFaQ98Rp0GbptBMQqov6iA\nEmUIYPtAVyKpsgO8Li2Hkc7RuKtPOvZbANBpVNCpVVU/TGTzNAKxNG8KKMDWsSyuJzHtr/89ablw\nP1LagRiBIDe4dY96KqATnghcVoPgz11yxmJgXTOROjZC1ANeBlCKop6iKOoqRVHXKIr673y8JqE+\nSDUBt5QnR1xYiaRwscoewHJgGAZjC0GMdgurfgIoWnzHF8Wx4S6HErA1aWsOMJEi/Q4TZhSShEss\nuDezt4v9bL5Z5n2A22k8tE1aCijABhFVm4Lrj6bBMOA1NfaxIScA4MWJ+qfhekJJaNUUHOQBlEAQ\nFb1GDbtZj5VIsm7vOeElAURbYW3SAgCiKWXtgdY8gFIUpQbweQBvATAM4AMURQ3X+rqE+jAt0QTc\nUh4bbIdGReE5AW24nnAK/mgaB3qFV0u6W5vQZtKJ1gfqCaUUqzb02U2YCcQUsSvhj6ahVVNoNmrF\nvhRJMNJhBUUBF8u04Z6ZXUe/wwS7BAcbo06DWJUW3JXCzmStFSyltFsN2NdlE6WOxRtKot1qEKzb\nkEAglI/bZqibAprK5nHNHyMBRFtQVEAV1gXKhwJ6F4BrDMPMMAyTAfB1AO/i4XUJdWBaogm4pdiM\nWty7vQ3PvekVbLDgQoGEDCDioCgKoz3NogURKbnyoN9uRiSVw3o8I/al1Iw/moLDrJdkOJgYmPQa\nbHeYy1JAaZrB2fkgDkts/5PDpFcjUWUNC/dwyHdv5tGhdpxfDBWV93rhUWAlFIEgV+rZBTrtiyFH\nM0QB3QKrgT2EJhbc2+kEsFjyv5cK/99NUBT1SxRFnaUo6mwgEODhbQl8IOUE3FKe2u3C3FpCsL3J\nsfkQDFoVBuu0CL+/uxnXA3GEE/W/oXhCSXQpLAGXo69QxaIEG24gmoZDwgdDYrCn01aWAjrtjyGc\nzEqq/7MUo06DeJUWXO7h0G3l9zP82FA7GAb48WR9VdDlUFKxjgwCQW7UUwGd8LL3cqKAbg6x4NYI\nwzD/wDDMIYZhDjkcjnq9LWELpv0xSe9/cjw+3A6KAp6/LIwNd3wxiL2dzdCq6/ORGC30Ep5fqq8N\nN5zMIprOoUOhlQfb7ayVfFYBQUSBaJrsxd3Cnk4b/NH0lj11XG3TXRLc/wS4HdDqFNCVcApNWjWs\nTfzucA+5LWg2anGhwq7VWsjTDFYiKcXejwgEueGyGRBOZqveUa+ECU8EJp0aPa1Gwd9LzhAL7p1Z\nBtBd8r+7Cv8fQeKsFhJwdzilu//J4bQYcLCnRZA90HQuj8vLEYz2Ch9AxLG3ywaKAs7XeQ90uVjB\noswbfmdLE3RqFa4roIrFH00XUwkJLHu62K64repYzsyuo92qR3erNJU1k06DeJU7oN5ICm6bgXfX\nCkVR6C/sUNeLQDSNPM0U+wcJBIK4FKtY6qCCTngjGHJbyf73FpAU3DtzBsBOiqL6KIrSAfhpAN/n\n4XUJAjMtgwTcUp7a7cKEN4LF9QSvr3vZE0EmT9dl/5PDYtBil9NS9yRcrnOvU6EWXLWKQm+bUfYK\naCZHYz2eIQm4tzDstkJFYdNEbIZhcGZuHYe2tUp2tcCkr82Cy2cAUSnbHea61hgth5TZSUwgyBVX\nwdov9B4oTTO44o2S/c8y0GvU0GtUxIJ7KwzD5AD8OoDnAVwB8E2GYS7X+roE4eEScOUygD454gLA\nvw13bJ4dAg/01E8BBVAIIgrVNbF1uVj6rlzLW59d/lUsa3E2CMZBBtCbMOk12OHcPIhoOZSEN5yS\nrP0WAIy66kOIhBxA+x1m+KNpROtk9fIU70dkACUQpAD3bCC0AroYTCCWzmGEDKBlYW3SEgvuRjAM\n80OGYXYxDLOdYZg/5uM1CcIz5YvCotegXSY2v+5WI4bdVt5tuOOLIXQ2N8FZ58CX0Z5mhJNZzNZx\nWPKEktBpVLCb5PF3Xg39DjPm1+LI0/KtYvFHuA5Q5R4UVMvuQhDRnQ5uuP7PwxIeQKtVQPM0A1/B\ngisE27kQrzqpoJ4GOBAjEOREe+E5iKt7EooJTwQAMOy2Cfo+SsFq0CBCFFCCUpj2xWSRgFvKU7td\nOLcQhH+LEJJKOL8Qwmid1U/gRhBRPftAl0JJdNiU3bnXbzchm2ewFOTXql1P/FFuAFXuQUG17O20\nYTWWhi+ycV3I6dkgLAYNBlzSdXYYdWqksnTFhyRrsTRyNAOXQDuT/Q42D+B6nfZAPaEkLHoNLAbS\ndUsgSAGDVo1Wk05wBXTCG4FaRUm6g15KWAxasgNKUA5yScAt5andLjAM8MIEP1UBvkgKy6EkDvTU\nb/+TY4fDDIteU9c9UE8oqdj9T45+BVSxcF2MJITodrggoot3SJA+M7eOg70tUEv4kMWsZ0MlKk2a\nLHaACuTW6Gk1Qq2i6qeAhkkHKIEgNVxW4btAJzwR7HCYYdCqBX0fpcBacIkCSlAAXALuTpkNoDud\nZvTZTbztgY4vsMOfGAqoSkVhX3dzXRXQ5WASHQpPnOyz19dGKAT+KPvl36Zgq3S1DLttUFHYcA90\nPZ7BNX9M0vZbgO0BBVBxFQs3gAq1A6rTqNDbasRMnVKkPaEksd8SCBKjHl2glz0REkBUARaDpm67\n+fWCDKANypSPDSDaKYMKllIoisKTIy68dn0N4UTtH8axhRB0GhVGOsTZQ9jf3YzJlWhdOrfSuTz8\n0bTiFdBWkw62Ji1mZVzF4o+m0WrSQacht+hbadKpsdNp2TAJ9yzX/9kn7QHUpGdP/WMVVrFwe1lC\nDaAA6yC47q/fDihRQAkEaeGyGbDC45rTrazF0liJpDDsJgNouVgNWkSSRAElKIBrfnlVsJTy1G4X\ncjSDlyZrt+GOLwSxu8Mq2oP+aE8z8jSzZa8hH3CWGqU/8FEUxSbhylkBjaTJ/ucm7Omy4dIGQURn\n5tah06iwt0vawRZFBbTCJFxvJAWdWoVWo06IywLAVrHM1iHEK5nJI5jIKv5+RCDIDbfNgPV4Bqls\ndUndW3HFywogRAEtH2sTUUAJCmHKF4XFIJ8E3FL2dtrgshpqTsPN5GhcXAoXw4DEYH83a/0dXxTe\nhrscZNWTrgZ44Ot3mOqaLsw3gViaVLBswt4uG9bimdtsYqfngtjXZYNeI+29IpOOvb5Kk3BXwim0\n2/SChoj1O0zI5Oji/UIoPGGSgEsgSBG3Tdgu0Akve+A+RBTQsrEatEjnaMEOBcSADKASZX4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CjM8Ghh94SS6CD2WwJB8lgNGph06qoV0BcnfOhpNWJAocGX9Yaz4BIFlHATJ6dW0dNqFFxdU6ko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\n",
            "text/plain": [
              "<Figure size 1152x576 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "LVDR68d_pafz",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        "random_walk = np.cumsum(zero_mean_series)"
      ],
      "execution_count": 0,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "Ywc6Uj61pgBX",
        "colab_type": "code",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 513
        },
        "outputId": "dd4c8f37-e169-4398-9df1-08f9067f3120"
      },
      "source": [
        "plt.figure(figsize=(16, 8))\n",
        "g = sns.lineplot(data=random_walk)\n",
        "g.set_title('Random Walk')\n",
        "g.set_xlabel('Time index')\n",
        "plt.show()"
      ],
      "execution_count": 16,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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/VQAAAAB4DWutPt2cqz9+vE1ZR8t08YCO+uWFfZQYE+F0NJwCxRMAAADwMdU1Lv3uo636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\ndHtusSQpMiRQw7vFaHT3dhrdo536dYp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Eeobfz9jCFS8voUOrSJ47Z9hv+ncgIiIiUtcU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\n",
            "text/plain": [
              "<Figure size 1152x576 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        }
      ]
    }
  ]
}